Pith Number

pith:T5I26HDO

pith:2017:T5I26HDOK227TLO75ASPKRCROY

not attested not anchored not stored refs pending

Averages of Unlabeled Networks: Geometric Characterization and Asymptotic Behavior

Eric Kolaczyk, Jackson Walters, Jie Xu, Lizhen Lin, Steven Rosenberg

arxiv:1709.02793 v5 · 2017-09-08 · math.ST · math.DG · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5I26HDOK227TLO75ASPKRCROY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:54:36.770687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f51af1c6e56b5f9addfe824f5445176098a984eb9d2ad567bcec98fc6803527

Aliases

arxiv: 1709.02793 · arxiv_version: 1709.02793v5 · doi: 10.48550/arxiv.1709.02793 · pith_short_12: T5I26HDOK227 · pith_short_16: T5I26HDOK227TLO7 · pith_short_8: T5I26HDO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T5I26HDOK227TLO75ASPKRCROY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9f51af1c6e56b5f9addfe824f5445176098a984eb9d2ad567bcec98fc6803527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4401953f55672126e8cbe7a3288f27645a7cb4f1f055dd018b196be812c66ead",
    "cross_cats_sorted": [
      "math.DG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-09-08T17:50:51Z",
    "title_canon_sha256": "b9d465dcbe6a65adfbbea76ee1aeb606cd42c5bc0e72d6b08b224483a5c60afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02793",
    "kind": "arxiv",
    "version": 5
  }
}